🔍 Key Concepts

• Use the rolling period formula that relates GM (metacentric height), beam, and rolling period for small angles of heel • Convert all dimensions to consistent units (feet) before using the formula • Understand that a longer rolling period generally means a smaller GM (softer, slower roll)

💭 Think About

• What standard empirical formula connects rolling period (T), beam (B), and GM for a ship’s natural roll? How is GM isolated in that formula? • Have you squared all necessary terms correctly, and kept track of units while solving for GM? • Once you calculate a numerical GM, which of the answer choices is closest to your computed value?

✅ Before You Answer

• Verify that you are using the correct constant and form of the rolling-period/GM formula for a conventional vessel (not a barge or special type) • Double-check your unit conversions, especially the draft and beam if you used them anywhere; GM must come out in feet • After solving, do a sanity check: Does your GM value make sense for a 114' vessel with a 6-second rolling period (not extremely stiff, not extremely tender)?